Population Cycles in Voles and Lemmings: Density Dependence and Phase Dependence in a Stochastic World

Oikos ◽  
1999 ◽  
Vol 87 (3) ◽  
pp. 427 ◽  
Author(s):  
Nils Chr. Stenseth
Oecologia ◽  
1986 ◽  
Vol 71 (1) ◽  
pp. 156-158 ◽  
Author(s):  
E. Symonides ◽  
J. Silvertown ◽  
V. Andreasen

Author(s):  
Adam A Ahlers ◽  
Timothy P Lyons ◽  
Edward J Heske

A well-studied predator-prey relationship between American mink (Neovison vison (Schreber, 1777)) and muskrats (Ondatra zibethicus (Linnaeus, 1766)) in Canada has advanced our understanding of population cycles including the influence of density dependence and lagged responses of predators to prey abundances. However, it is unclear if patterns observed in Canada extend across the southern half of their native range. We used data from the United States to create a 41-year time series of mink and muskrat harvest reports (1970-2011) for 36 states. After controlling for pelt-price effects, we used 2nd order autoregressive and Lomb-Scargle spectral density models to identify the presence and periodicity of muskrat population cycles. Additionally, we tested for evidence of delayed or direct density dependence and for predator-driven population dynamics. Our results suggest muskrat populations may cycle in parts of the United States; however, results varied by modeling approaches with Lomb-Scargle analyses providing more precise parameter estimates. Observed cycle lengths were longer than expected with weak amplitudes and we urge caution when interpreting these results. We did not detect evidence of a predator-prey relationship driven by a lagged numerical response of American mink. American mink and muskrat fur returns were largely correlated across the region suggesting extraneous factors likely synchronize both populations.


2000 ◽  
Vol 78 (6) ◽  
pp. 1009-1016 ◽  
Author(s):  
John Erb ◽  
Nils Chr. Stenseth ◽  
Mark S Boyce

We investigated the dynamic properties of population cycles in Canadian muskrats (Ondatra zibethicus). Ninety-one historic time series of muskrat-harvest data obtained from the Hudson's Bay Company Archives were analyzed. Most series were 25 years in length (1925–1949) and were distributed primarily throughout five ecozones. For each series, we estimated period length and coefficients for a second-order autoregressive model. Estimated period length varied between 3 and 13 years, with 3- to 5-year periods located in Subarctic-Arctic ecozones. We hypothesize that the 4-year cycles are largely a result of predation by red fox (Vulpes vulpes), which exhibit 4-year cycles in Arctic regions. The remaining ecozones generally averaged 8–9 years in period length. However, the relative contributions of direct and delayed density dependence varied along a latitudinal gradient. We hypothesize that both social and trophic interactions are necessary to produce the observed dynamics, but that shifts in the nature of mink predation were responsible for the changes in the relative contribution of direct and delayed density dependence. Essentially, there is a tension between population-intrinsic and trophic interactions that may bound the length of the cycle.


Ecology ◽  
2002 ◽  
Vol 83 (11) ◽  
pp. 2997 ◽  
Author(s):  
Eric Post ◽  
Nils Chr. Stenseth ◽  
Rolf O. Peterson ◽  
John A. Vucetich ◽  
Alicia M. Ellis

2003 ◽  
Vol 100 (20) ◽  
pp. 11478-11483 ◽  
Author(s):  
N. C. Stenseth ◽  
H. Viljugrein ◽  
T. Saitoh ◽  
T. F. Hansen ◽  
M. O. Kittilsen ◽  
...  

Ecology ◽  
2002 ◽  
Vol 83 (11) ◽  
pp. 2997-3002 ◽  
Author(s):  
Eric Post ◽  
Nils Chr. Stenseth ◽  
Rolf O. Peterson ◽  
John A. Vucetich ◽  
Alicia M. Ellis

2006 ◽  
Vol 168 (3) ◽  
pp. 318
Author(s):  
Gonzalez-Andujar ◽  
Fernandez-Quintanilla ◽  
Navarrete

1997 ◽  
Vol 264 (1378) ◽  
pp. 31-38 ◽  
Author(s):  
Erik Framstad ◽  
Nils C. Stenseth ◽  
Ottar N. Bjørnstad ◽  
Wilhelm Falck

2006 ◽  
Vol 168 (3) ◽  
pp. 318-322 ◽  
Author(s):  
J. L. Gonzalez‐Andujar ◽  
C. Fernandez‐Quintanilla ◽  
L. Navarrete

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